Solve the system x+y-14=0 4x-y-11=0

We'll re-write the equations, keeping the variables x and
y to the left side:

x + y = 14
(1)

4x - y = 11 (2)

We'll
solve the system using substitution:

x = 14 - y
(3)

We'll replace x in the 2nd equation by the expression
from (3):

4(14 - y) - y =
11

We'll remove the
brackets:

56 - 4y - y = 11

-5y
= 11 - 56

-5y = -45

We'll
divide by -5:

y = 9

We'll
substitute y in (3):

x = 14 -
9

x = 5

The
solution of the system is the pair: (5 ; 9).